Will migrating from Woo to Shopify guarantee a CVR boost? Worried about ROI/Cashflow.

Hello,

I am planning to migrate my store with 4k sku's from WooCommerce to Shopify.

My main question for those who migrated: From your experience, what kind of conversion rate change did you see immediately after the migration and then 3-6 months down the line?

I am asking because this migration is going to be quite expensive. I am hiring true experts to ensure the data migration, SEO redirects, and UX are done perfectly. However, I want to model my financial projections realistically so that cash flow doesn't become a issue during the transition.

Did Shopify's native checkout genuinely give you a cvr bump? Did you experience a post-migration dip before things stabilized?

Any insights, warnings, or shared experiences would be incredibly helpful! Thanks.